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7137374
15. Graph Spanning Tree
Description
Algorithms and Data Structures | Test 3 Review | CSCI-3110-002 MTSU
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mtsu
csci
3110
Quiz by
Mena Sargios
, updated more than 1 year ago
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Created by
Mena Sargios
about 8 years ago
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Resource summary
Question 1
Question
How do you know if a connected undirected graph does not contain a cycle?
Answer
A connected undirected graph that has EXACTLY n-1 edges, with n being the number of nodes in the graph, cannot contain a cycle.
none
Question 2
Question
A connected undirected graph with 17 nodes has 20 edges. Is it a spanning tree? If so, why?
Answer
A) No.
B) Not enough information is presented to reach a conclusion.
C) Yes; any connected but undirected graph is a spanning tree.
D) Yes; a spanning tree is a connected graph with at least (N + 1) edges.
Question 3
Question
How do you get the minimum spanning tree?
Answer
Prim's Algorithm
none
Question 4
Question
What is a spanning tree?
Answer
A.graph that has two cycles
B.graph that has one cycle
C.graph that has no cycle
D.none of the above
Question 5
Question
What is a Spannning three?
Answer
A. Connected graph
B. Undirected graph without cycles
C. All the above.
Question 6
Question
What results from a Depth-First Search?
Answer
A) 2-3 Tree
B) Binary Tree
C) Balanced Binary Tree
D) Spanning Tree
Question 7
Question
A connected __ digraph with n vertices and ___ n-1 degrees ___ a cycle
Answer
a.directed, exactly, must contain ;undirected, more than, cannot contain
b.undirected, more than, must contain ;undirected, exactly, cannot contain
c.undirected, exactly, cannot contain ;directed, more than, must contain
d.directed, more than, must contain ;directed, exactly, cannot contain
e. None of the above
Question 8
Question
What aglorithm is used to find the minimum spanning tree for a graph?
Answer
A. Depth First Search
B. Bubble Sort
C. Dijkstra's Algorithm
D. Prim's Algorithm
Question 9
Question
Which of the following is NOT a way to find a spanning tree?
Answer
A. DFS
B. BFS
C. Prim's
D. Dijkstra's
Question 10
Question
Which of the following are correct concerning spanning trees?
Answer
A. all trees are graphs, but not all graphs are trees, and it is a connected, undirected graph without cycles
B. all trees are not graphs, but all graphs are trees, and it is a connected, undirected graph without cycles
C. all trees are graphs, but not all graphs are trees, and it is an unconnected, undirected graph without cycles
D. all trees are not graphs, but all graphs are trees, and it is an unconnected, undirected graph without cycles
Question 11
Question
A graph with that is not connected will not have a spanning tree?
Answer
True
False
Question 12
Question
A connected undirected graph that has n vertices and exactly n - 1 edges must contain at least one cycle.
Answer
True
False
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